{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import subprocess"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "def run_test(sps):\n",
    "    # you might need to change this for your system\n",
    "    subprocess.run(['./test', str(sps)],\n",
    "                   env = {'LD_LIBRARY_PATH' : '/home/daniel/debian_testing_chroot/usr/lib/x86_64-linux-gnu/'})\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "sps = 4.1\n",
    "run_test(sps)\n",
    "interp_output = np.fromfile('interp_output.c64', dtype = 'complex64')\n",
    "interp_derivative = np.fromfile('interp_derivative.c64', dtype = 'complex64')\n",
    "ted_error = np.fromfile('ted_error.f32', dtype = 'float32')\n",
    "n_poly = 100\n",
    "sym = np.arange(interp_output.size)/(n_poly*sps)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(sym, interp_output.real)\n",
    "plt.grid()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(sym, interp_derivative.real)\n",
    "derivative_scale = np.average(interp_derivative.real[:-1]/np.diff(interp_output.real))\n",
    "plt.plot(sym[:-1], np.diff(interp_output.real)*derivative_scale)\n",
    "plt.grid()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "118.28524"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "derivative_scale"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(sym, ted_error)\n",
    "plt.plot(sym[:-1], 0.5*np.diff(interp_output.real)*derivative_scale*interp_output.real[:-1])\n",
    "plt.grid()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "def compute_K_ted(sps):\n",
    "    K_ted = np.empty_like(sps)\n",
    "    for j,s in enumerate(sps):\n",
    "        run_test(s)\n",
    "        ted_error = np.fromfile('ted_error.f32', dtype = 'float32')\n",
    "        K_ted[j] = (ted_error[0]-ted_error[1])*n_poly\n",
    "    return K_ted"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7ff7f76e2f28>]"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sps = np.arange(2,10.01,0.01)\n",
    "plt.plot(sps, compute_K_ted(sps)*sps)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7ff7f76c8da0>]"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sps = np.arange(2,10.5,0.5)\n",
    "plt.plot(sps, compute_K_ted(sps)*sps, '.-')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7ff7f76379e8>]"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sps = np.arange(2,10.5,0.25)\n",
    "plt.plot(sps, compute_K_ted(sps)*sps, '.-')"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
